Metamath Proof Explorer

Theorem nnexpcl

Description: Closure of exponentiation of nonnegative integers. (Contributed by NM, 16-Dec-2005)

Ref Expression
Assertion nnexpcl A N 0 A N


Step Hyp Ref Expression
1 nnsscn
2 nnmulcl x y x y
3 1nn 1
4 1 2 3 expcllem A N 0 A N